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Finding the Fourth Proportional to 187.96, 282.20 and 96.73

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Solution

The fourth proportional to 187.96, 282.20 and 96.73 is: 145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.96 : 282.20 = 96.73 : x
  2. Step 2: Convert to fraction form
    187.96/282.20 = 96.73/x
  3. Step 3: Cross multiply
    187.96x = 282.20 × 96.73
  4. Step 4: Simplify right side
    187.96x = 27,297.21
  5. Step 5: Solve for x
    x = 27,297.21/187.96
  6. Step 6: Final answer
    x = 145.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.